Aging and coarsening in isolated quantum systems after a quench: Exact results for the quantum O(N) model with N → ∞

Anna Maraga, Alessio Chiocchetta, Aditi Mitra, Andrea Gambassi

    Research output: Contribution to journalArticle

    Abstract

    The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features for a quench of the parameters of a Hamiltonian with O(N) symmetry, starting from a ground state in the disordered phase. In the limit of infinite N, the exponents and scaling forms of the relevant two-time correlation functions can be calculated exactly. Our analytical predictions are confirmed by the numerical solution of the corresponding equations. Moreover, we find that the same scaling functions, yet with different exponents, also describe the coarsening dynamics for quenches below the dynamical critical point.

    Original languageEnglish (US)
    Article number042151
    JournalPhysical Review E
    Volume92
    Issue number4
    DOIs
    StatePublished - Oct 26 2015

    Fingerprint

    Coarsening
    Exact Results
    Quantum Systems
    Exponent
    exponents
    scaling
    Critical point
    critical point
    Scaling
    Nonequilibrium Dynamics
    Time Correlation Functions
    Scaling Function
    Ground State
    Time Scales
    Numerical Solution
    Model
    Symmetry
    ground state
    Prediction
    symmetry

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Aging and coarsening in isolated quantum systems after a quench : Exact results for the quantum O(N) model with N → ∞. / Maraga, Anna; Chiocchetta, Alessio; Mitra, Aditi; Gambassi, Andrea.

    In: Physical Review E, Vol. 92, No. 4, 042151, 26.10.2015.

    Research output: Contribution to journalArticle

    Maraga, Anna ; Chiocchetta, Alessio ; Mitra, Aditi ; Gambassi, Andrea. / Aging and coarsening in isolated quantum systems after a quench : Exact results for the quantum O(N) model with N → ∞. In: Physical Review E. 2015 ; Vol. 92, No. 4.
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